| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 10906.h2 |
10906l1 |
10906.h |
10906l |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 19 \cdot 41 \) |
\( 2^{5} \cdot 7^{5} \cdot 19^{2} \cdot 41^{5} \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$11480$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$80000$ |
$1.836151$ |
$57059554959491530321/22493998606231264$ |
$0.95302$ |
$4.89301$ |
$[1, 1, 1, -80205, 4902883]$ |
\(y^2+xy+y=x^3+x^2-80205x+4902883\) |
5.24.0-5.a.1.2, 2296.2.0.?, 11480.48.1.? |
$[]$ |
| 76342.z2 |
76342s1 |
76342.z |
76342s |
$2$ |
$5$ |
\( 2 \cdot 7^{2} \cdot 19 \cdot 41 \) |
\( 2^{5} \cdot 7^{11} \cdot 19^{2} \cdot 41^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$11480$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3840000$ |
$2.809109$ |
$57059554959491530321/22493998606231264$ |
$0.95302$ |
$5.08460$ |
$[1, 0, 0, -3930046, -1693479068]$ |
\(y^2+xy=x^3-3930046x-1693479068\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 1640.24.0.?, 2296.2.0.?, 11480.48.1.? |
$[]$ |
| 87248.q2 |
87248n1 |
87248.q |
87248n |
$2$ |
$5$ |
\( 2^{4} \cdot 7 \cdot 19 \cdot 41 \) |
\( 2^{17} \cdot 7^{5} \cdot 19^{2} \cdot 41^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$11480$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1920000$ |
$2.529301$ |
$57059554959491530321/22493998606231264$ |
$0.95302$ |
$4.72978$ |
$[0, 1, 0, -1283280, -316351084]$ |
\(y^2=x^3+x^2-1283280x-316351084\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 2296.2.0.?, 11480.48.1.? |
$[]$ |
| 98154.o2 |
98154x1 |
98154.o |
98154x |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 41 \) |
\( 2^{5} \cdot 3^{6} \cdot 7^{5} \cdot 19^{2} \cdot 41^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$34440$ |
$48$ |
$1$ |
$2.851717642$ |
$1$ |
|
$4$ |
$2400000$ |
$2.385456$ |
$57059554959491530321/22493998606231264$ |
$0.95302$ |
$4.53114$ |
$[1, -1, 0, -721845, -133099691]$ |
\(y^2+xy=x^3-x^2-721845x-133099691\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 2296.2.0.?, 11480.24.1.?, 34440.48.1.? |
$[(-195, 563)]$ |
| 207214.k2 |
207214x1 |
207214.k |
207214x |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 19^{2} \cdot 41 \) |
\( 2^{5} \cdot 7^{5} \cdot 19^{8} \cdot 41^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$218120$ |
$48$ |
$1$ |
$4.594987763$ |
$1$ |
|
$0$ |
$28800000$ |
$3.308372$ |
$57059554959491530321/22493998606231264$ |
$0.95302$ |
$5.15927$ |
$[1, 0, 1, -28954013, -33860507816]$ |
\(y^2+xy+y=x^3-28954013x-33860507816\) |
5.12.0.a.1, 95.24.0.?, 2296.2.0.?, 11480.24.1.?, 218120.48.1.? |
$[(59626/3, 6800413/3)]$ |
| 272650.p2 |
272650p1 |
272650.p |
272650p |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 41 \) |
\( 2^{5} \cdot 5^{6} \cdot 7^{5} \cdot 19^{2} \cdot 41^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$11480$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$11200000$ |
$2.640869$ |
$57059554959491530321/22493998606231264$ |
$0.95302$ |
$4.40616$ |
$[1, 0, 1, -2005126, 616870648]$ |
\(y^2+xy+y=x^3-2005126x+616870648\) |
5.24.0-5.a.1.1, 2296.2.0.?, 11480.48.1.? |
$[]$ |
| 348992.t2 |
348992t1 |
348992.t |
348992t |
$2$ |
$5$ |
\( 2^{6} \cdot 7 \cdot 19 \cdot 41 \) |
\( 2^{23} \cdot 7^{5} \cdot 19^{2} \cdot 41^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$11480$ |
$48$ |
$1$ |
$1.884228887$ |
$1$ |
|
$2$ |
$15360000$ |
$2.875874$ |
$57059554959491530321/22493998606231264$ |
$0.95302$ |
$4.54189$ |
$[0, -1, 0, -5133121, -2525675551]$ |
\(y^2=x^3-x^2-5133121x-2525675551\) |
5.12.0.a.1, 40.24.0-5.a.1.1, 2296.2.0.?, 2870.24.0.?, 11480.48.1.? |
$[(-1768, 31939)]$ |
| 348992.bw2 |
348992bw1 |
348992.bw |
348992bw |
$2$ |
$5$ |
\( 2^{6} \cdot 7 \cdot 19 \cdot 41 \) |
\( 2^{23} \cdot 7^{5} \cdot 19^{2} \cdot 41^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$11480$ |
$48$ |
$1$ |
$0.665704404$ |
$1$ |
|
$10$ |
$15360000$ |
$2.875874$ |
$57059554959491530321/22493998606231264$ |
$0.95302$ |
$4.54189$ |
$[0, 1, 0, -5133121, 2525675551]$ |
\(y^2=x^3+x^2-5133121x+2525675551\) |
5.12.0.a.1, 40.24.0-5.a.1.3, 2296.2.0.?, 5740.24.0.?, 11480.48.1.? |
$[(-2373, 36736), (210, 38171)]$ |
| 447146.bh2 |
447146bh1 |
447146.bh |
447146bh |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 19 \cdot 41^{2} \) |
\( 2^{5} \cdot 7^{5} \cdot 19^{2} \cdot 41^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$11480$ |
$48$ |
$1$ |
$11.41231491$ |
$1$ |
|
$0$ |
$134400000$ |
$3.692940$ |
$57059554959491530321/22493998606231264$ |
$0.95302$ |
$5.20897$ |
$[1, 0, 0, -134824640, 340203630368]$ |
\(y^2+xy=x^3-134824640x+340203630368\) |
5.12.0.a.1, 205.24.0.?, 280.24.0.?, 2296.2.0.?, 11480.48.1.? |
$[(-157678/7, 295758996/7)]$ |
